Modeling of the Initial Mass Function Using the Metropolis-Hastings Algorithm

Details Modeling of the Initial Mass Function Using the Metropolis-Hastings Algorithm Modeling of the Initial Mass Function Using the Metropolis-Hastings Algorithm

Aug 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011apj...736..152c&link_type=abstract

The Astrophysical Journal, Volume 736, Issue 2, article id. 152 (2011).

Astronomy and Astrophysics

Astronomy

Methods: Statistical, Stars: Luminosity Function, Mass Function

Scientific paper

A stochastic model has been developed for the hierarchical fragmentation of a molecular cloud. Here, the number of fragments, time between successive fragmentation steps, and mass of a fragment are considered as random variables, and fragment masses are generated using the Metropolis-Hastings algorithm. The resulting mass spectra, computed at different projected distances and taking opacity into consideration, show a signature of mass segregation. The critical mass, mass spectrum, and mass segregation are consistent with the observations of young massive clusters in our Galaxy as well as in external galaxies.

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